The Final Log Canonical Model of the Moduli Space of Stable Curves of Genus 4

被引：13

作者：

Fedorchuk, Maksym ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2012年 / 2012卷 / 24期

关键词：

D O I：

10.1093/imrn/rnr242

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the GIT quotient of the linear system of (3, 3) curves on P-1 x P-1 as the final nontrivial log canonical model of (M) over bar (4), isomorphic to (M) over bar (4)(alpha) for 8/17 < alpha <= 29/60. We describe singular curves parameterized by <(M)over bar>(4)(29/60), and show that the rational map (M) over bar (4) ---> (M) over bar (4) (29/60) contracts the Petri divisor, in addition to the boundary divisors Delta(1) and Delta(2). This answers a question of Farkas.

引用

页码：5650 / 5672

页数：23

共 21 条

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[2]

Alper J., 2011, ARXIV11105960MATHAG

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